21 citations · 33 across the 14 of their papers we have counts for
16 papers
A Schrödinger operator with confining potential having quadratic growth
Chiara Alessi, Lorenzo Brasco, Michele Miranda
We study the spectral properties of a Schrödinger operator, in presence of a confining potential given by the distance squared from a fixed compact potential well. We prove continu…
Gradient contractivity of a rescaled resolvent on domains in Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
Given an abstract Wiener space , we consider an open set which satisfies certain smoothness and mean-curvature conditions. We prove that the rescaled resolv…
Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In this paper we consider an abstract Wiener space and an open subset which satisfies suitable assumptions. For every we define the Sobol…
Rough traces of functions in metric measure spaces
Vito Buffa, Michele Miranda
Following a Maz'ya-type approach, we adapt the theory of rough traces of functions of bounded variation () in the context of doubling metric measure spaces supporting a Poincar…
On functions and essentially bounded divergence-measure fields in metric spaces
Vito Buffa, Giovanni Eugenio Comi, Michele Miranda
By employing the differential structure recently developed by N. Gigli, we first give a notion of functions of bounded variation () in terms of suitable vector fields on a comp…
Characterization of BV functions on open domains: the Gaussian case and the general case
Davide Addona, Giorgio Menegatti, Michele Miranda
We provide three different characterizations of the space of the functions of bounded variation with respect to a centred non-degenerate Gaussian measure on open dom…